Healing Others Through Your Own Healing

If everything is one, and if other people in my surroundings are myself in a projected form (or we all are projected forms of the same consciousness), does that mean that if I heal what I call myself, I also help others heal (since what I call myself is a projected part of a common consciousness?
What I mean is not healing of others only because we´re nicer and easier as persons on an outer level when we heal, but on an inner level. That if I heal a part of my soul, also the persons in my world heals since our souls are connected?